Constraints on energy independent solutions of the solar neutrino problem

We analyze the latest published solar neutrino data assuming an arbitrary neutrino oscillation/conversion mechanism suppresses the electron neutrino flux from the Sun independent of energy. For oscillations/transitions into active (sterile) neutrinos such mechanisms are ruled out at 99.96 (99.9997)% C.L. assuming the standard solar model by Bahcall and Pinnsoneault ʹ95 correctly predicts all solar neutrino fluxes within their estimated uncertainties. Even if one allows for 8B and 7Be solar neutrino fluxes that are vastly different from the ones in contemporary standard solar models these mechanisms are disfavored by the data.